I–Ian Rumfitt: Frege's Logicism

Autor:	Ian Rumfitt
Rok vydání:	1999
Předmět:	TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Philosophy Appeal Spell Arithmetic function Logicism Inference Forestry Plant Science Special case Axiom Sketch Epistemology
Zdroj:	Aristotelian Society Supplementary Volume. 73:151-180
ISSN:	1467-8349 0309-7013
DOI:	10.1111/1467-8349.00053
Popis:	Frege’s logicism in the philosophy of arithmetic consisted, au fond , in the claim that in justifying basic arithmetical axioms a thinker need appeal only to methods and principles which he already needs to appeal in order to justify paradigmatically logical truths and paradigmatically logical forms of inference. Using ideas of Gentzen to spell out what these methods and principles might include, I sketch a strategy for vindicating this logicist claim for the special case of the arithmetic of the finite cardinals.
Databáze:	OpenAIRE
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